...Trying to connect the endpoints of two non-parallel lines using two arcs that are tangent to each other, as well as the two lines.
Think of it like this - two straight segments of road way, each approaching the bank on opposite sides of a river. The segments are non-parallel. Imagine constructing an s-curve bridge to connect the two road segments.
...how can I draft it with tangent arcs?
ACAD2000